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Finding the Third Proportional to 69,320.81 and 141,920.44

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Solution

The third proportional to 69,320.81 and 141,920.44 is: 290,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,320.81 : 141,920.44 = 141,920.44 : x
  2. Step 2: Convert to fraction form
    69,320.81/141,920.44 = 141,920.44/x
  3. Step 3: Cross multiply
    69,320.81x = 141,920.44 × 141,920.44
  4. Step 4: Simplify right side
    69,320.81x = 20,141,410,580.19
  5. Step 5: Solve for x
    x = 20,141,410,580.19/69,320.81
  6. Step 6: Final answer
    x = 290,553.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.